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Finding the Fourth Proportional to 11,395.68, 15,725.88 and 6,680.40

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Solution

The fourth proportional to 11,395.68, 15,725.88 and 6,680.40 is: 9,218.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,395.68 : 15,725.88 = 6,680.40 : x
  2. Step 2: Convert to fraction form
    11,395.68/15,725.88 = 6,680.40/x
  3. Step 3: Cross multiply
    11,395.68x = 15,725.88 × 6,680.40
  4. Step 4: Simplify right side
    11,395.68x = 105,055,168.75
  5. Step 5: Solve for x
    x = 105,055,168.75/11,395.68
  6. Step 6: Final answer
    x = 9,218.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.